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Finding the Third Proportional to 312,995,367,490 and 677,963,983,342

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Solution

The third proportional to 312,995,367,490 and 677,963,983,342 is: 1,468,504,682,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,995,367,490 : 677,963,983,342 = 677,963,983,342 : x
  2. Step 2: Convert to fraction form
    312,995,367,490/677,963,983,342 = 677,963,983,342/x
  3. Step 3: Cross multiply
    312,995,367,490x = 677,963,983,342 × 677,963,983,342
  4. Step 4: Simplify right side
    312,995,367,490x = 459,635,162,708,951,670,194,176
  5. Step 5: Solve for x
    x = 459,635,162,708,951,670,194,176/312,995,367,490
  6. Step 6: Final answer
    x = 1,468,504,682,337.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.